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Finding the Fourth Proportional to 474.21, 653.00 and 430.29

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Solution

The fourth proportional to 474.21, 653.00 and 430.29 is: 592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.21 : 653.00 = 430.29 : x
  2. Step 2: Convert to fraction form
    474.21/653.00 = 430.29/x
  3. Step 3: Cross multiply
    474.21x = 653.00 × 430.29
  4. Step 4: Simplify right side
    474.21x = 280,977.22
  5. Step 5: Solve for x
    x = 280,977.22/474.21
  6. Step 6: Final answer
    x = 592.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.